Answer: Yes they are like terms
They both have the same variable so that is why they are like terms.
We can think of 'd' representing something like "dogs" maybe
d = 1 dog
2d = 2 dogs
3d = 3 dogs
4d = 4 dogs
and so on
Adding 2d with 4d gets us 2d+4d = 6d meaning we have 6 dogs overall if we started with 2 and added on 4 more. This is one way to help see why we can combine like terms.
In contrast, something like 2c+4d cannot be combined since having 2 cats and 4 dogs doesn't result in 6 cats or 6 dogs. We just simply leave it as 2c+4d.
Use trigonometry to find the angle between the segments 3 and 6.
∠XOB = arccos(3/6) = 60°
The measure of arc AB is double that angle, since the figure is symmetrical about the line containing the segment of length 3.
m(arc AB) = 2·60° = 120°
Answer:
-12°
Step-by-step explanation:
Man... I just did 36 minus 24, and since it says 36° lower I decided it was -12 degrees (24 - 36 is more accurate but I find it easier just to do it the other way)
Answer:
Sam made a mistake, and their correct value is 30.
Step-by-step explanation:
Answer:
88.02 ft/s
Step-by-step explanation:
Angle with the horizontal, θ =25°
Initial velocity, v = 60 mph
1 mph = 1.467 ft/s
60 mph = 60 × 1.467 ft/s = 88.02 ft/s
Vertical component, v sin θ = 88.02 sin 25° = 37.2 ft/s
Horizontal component, v cos θ = 88.02 cos 25°= 79.8 ft/s
